Workbook 35

Chapter 1: Double Integrals over Rectangular Regions

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Objectives

Be able to find volumes of regions using double integrals using iterated integration. Understand fubini's theorem.

Video: Double and triple integrals | Multivariable Calculus | Khan Academy - YouTube
Video: Change the order of integration to solve tricky integrals - YouTube
Video: Double Integrals - YouTube
Video: Double and Triple Integrals - YouTube
Video: Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info) - YouTube
Video: Defining Double Integration with Riemann Sums | Volume under a Surface - YouTube
Video: Visual Calculus: Fubini's Theorem for Iterated Double Integrals - YouTube
Reference: Multiple integral - Wikipedia
Reference: Order of integration (calculus) - Wikipedia
Reference: Iterated integral - Wikipedia
Reference: Fubini's theorem - Wikipedia

Prerequisites

Understand how to calculate definite integrals and their properties. from Chapter 1: "Definite Integrals" in Workbook 30
Understand how to find volumes using single integrals and solids of revolution around x, y, and other axis. from Chapter 5: "Volumes with Integrals" in Workbook 34
Understand how to evaluate functions of serveral variables, and be able to take their limits to determine continuity and differentiablity from Chapter 4: "Multivariate Functions and Partial Derivatives" in Workbook 20

Chapter 2: Double Integrals Over Non-Rectangular Regions

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Objectives

Be able to evaluate integrals over non-rectangular regions.

Prerequisites

Be able to find volumes of regions using double integrals using iterated integration. Understand fubini's theorem. from Chapter 1: "Double Integrals over Rectangular Regions" in Workbook 35

Chapter 3: Applications of Double Integrals

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Chapter 4: Multivariate Distributions

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